KAM Tori for 1D Nonlinear Wave Equations¶ with Periodic Boundary Conditions L Chierchia, J You Communications in Mathematical Physics 211 (2), 497-525, 2000 | 218 | 2000 |
Invariant tori for nearly integrable Hamiltonian systems with degeneracy J Xu, J You, Q Qiu Mathematische Zeitschrift 226, 375-387, 1997 | 184 | 1997 |
A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces J Geng, J You Communications in mathematical physics 262 (2), 343-372, 2006 | 177 | 2006 |
One-dimensional quasiperiodic mosaic lattice with exact mobility edges Y Wang, X Xia, L Zhang, H Yao, S Chen, J You, Q Zhou, XJ Liu Physical Review Letters 125 (19), 196604, 2020 | 162 | 2020 |
An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation J Geng, X Xu, J You Advances in Mathematics 226 (6), 5361-5402, 2011 | 150 | 2011 |
Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems X Hou, J You Inventiones mathematicae 190 (1), 209-260, 2012 | 144 | 2012 |
Sharp phase transitions for the almost Mathieu operator A Avila, J You, Q Zhou | 124 | 2017 |
Perturbations of lower dimensional tori for Hamiltonian systems J You journal of differential equations 152 (1), 1-29, 1999 | 104 | 1999 |
A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions J Geng, J You Journal of Differential Equations 209 (1), 1-56, 2005 | 96 | 2005 |
KAM tori for higher dimensional beam equations with constant potentials J Geng, J You Nonlinearity 19 (10), 2405, 2006 | 81 | 2006 |
Persistence of lower-dimensional tori under the first Melnikov's non-resonance condition J Xu, J You Journal de mathématiques pures et appliquées 80 (10), 1045-1067, 2001 | 80 | 2001 |
On the application of KAM theory to discontinuous dynamical systems M Kunze, T Küpper, J You journal of differential equations 139 (1), 1-21, 1997 | 74 | 1997 |
Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles Y Wang, J You | 70 | 2013 |
Full measure reducibility for generic one-parameter family of quasi-periodic linear systems HL Her, J You Journal of Dynamics and Differential Equations 20 (4), 831-866, 2008 | 70 | 2008 |
A KAM theorem for hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems J You Communications in mathematical physics 192, 145-168, 1998 | 64 | 1998 |
Bifurcations of normally parabolic tori in Hamiltonian systems HW Broer, H Hanßmann, J You Nonlinearity 18 (4), 1735, 2005 | 55 | 2005 |
Asymptotics of spectral gaps of quasi-periodic Schr\" odinger operators M Leguil, J You, Z Zhao, Q Zhou arXiv preprint arXiv:1712.04700, 2017 | 54 | 2017 |
Quasi-periodic solutions for 1D Schrödinger equations with higher order nonlinearity Z Liang, J You SIAM journal on mathematical analysis 36 (6), 1965-1990, 2005 | 54 | 2005 |
Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles A Cai, C Chavaudret, J You, Q Zhou Mathematische Zeitschrift 291, 931-958, 2019 | 52 | 2019 |
Invariant tori and Lagrange stability of pendulum-type equations J You Journal of differential equations 85 (1), 54-65, 1990 | 50 | 1990 |